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Finding the Fourth Proportional to 321,782.22, 442,484.78 and 279,266.94

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Solution

The fourth proportional to 321,782.22, 442,484.78 and 279,266.94 is: 384,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782.22 : 442,484.78 = 279,266.94 : x
  2. Step 2: Convert to fraction form
    321,782.22/442,484.78 = 279,266.94/x
  3. Step 3: Cross multiply
    321,782.22x = 442,484.78 × 279,266.94
  4. Step 4: Simplify right side
    321,782.22x = 123,571,369,110.84
  5. Step 5: Solve for x
    x = 123,571,369,110.84/321,782.22
  6. Step 6: Final answer
    x = 384,021.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.